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Le grand théorème de Picard pour les multifonctions analytiques finies

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Aupetit B., El Kettani M.

Annales Polonici Mathematici

2001

tom 77

nr 2

189-196

Let D be a domain of the complex plane containing the origin. The famous great theorem of Émile Picard asserts that if h is holomorphic on D∖{0}, with an essential singularity at 0, then the image under h of any pointed neighbourhood of 0 covers all the complex plane, with at most one exception. Introducing the concept of essential singularity for analytic multifunctions, we extend this theorem to a finite analytic multifunction K, of degree N, defined on D∖{0}. In this case $⋃_{0<|λ|

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Aupetit B.

1 El Kettani M.

1 2001

Wyniki wyszukiwania

Le grand théorème de Picard pour les multifonctions analytiques finies